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Duality without constraint qualification for multiobjective programming

Published online by Cambridge University Press:  17 February 2009

R. R. Egudo ,
T. Weir  and
B. Mond
R. R. Egudo
Affiliation:
School of App. Science, Monash University College, Churchill VIC. 3842.
T. Weir
Affiliation:
Department of Mathematics, Australian Defence Force Academy, Campbell, ACT 2600.
B. Mond
Affiliation:
Department of Mathematics, La Trobe University, Bundoora, VIC 3083.
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Abstract

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Extending earlier duality results for multiobjective programs, this paper defines dual problems for convex and generalised convex multiobjective programs without requiring a constraint qualification. The duals provide multiobjective extensions of the classical duals of Wolfe and Schechter and some of the more recent duals of Mond and Weir.

Type
Research Article
Information
The ANZIAM Journal , Volume 33 , Issue 4 , April 1992 , pp. 531 - 544
Copyright
Copyright © Australian Mathematical Society 1992

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